123434414130 has 128 divisors (see below), whose sum is σ = 320456736000. Its totient is φ = 30312382464.

The previous prime is 123434414119. The next prime is 123434414137. The reversal of 123434414130 is 31414434321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (123434414137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10238346 + ... + 10250394.

It is an arithmetic number, because the mean of its divisors is an integer number (2503568250).

Almost surely, 2^123434414130 is an apocalyptic number.

123434414130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123434414130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160228368000).

123434414130 is an abundant number, since it is smaller than the sum of its proper divisors (197022321870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123434414130 is a wasteful number, since it uses less digits than its factorization.

123434414130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12508.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 123434414130 its reverse (31414434321), we get a palindrome (154848848451).

The spelling of 123434414130 in words is "one hundred twenty-three billion, four hundred thirty-four million, four hundred fourteen thousand, one hundred thirty".